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Finding the Fourth Proportional to 11,982.60, 16,534.53 and 6,675.48

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Solution

The fourth proportional to 11,982.60, 16,534.53 and 6,675.48 is: 9,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.60 : 16,534.53 = 6,675.48 : x
  2. Step 2: Convert to fraction form
    11,982.60/16,534.53 = 6,675.48/x
  3. Step 3: Cross multiply
    11,982.60x = 16,534.53 × 6,675.48
  4. Step 4: Simplify right side
    11,982.60x = 110,375,924.32
  5. Step 5: Solve for x
    x = 110,375,924.32/11,982.60
  6. Step 6: Final answer
    x = 9,211.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.